Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Linear Algebra With Applications
Found in: Page 289
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Consider a 4×4 matrix A with rows v1,v2,v3,v4. If , find the determinants in Exercises 11 through 16.

12. localid="1659509477853" det[v1v2v3v4]

Therefore, the determinant of given determinant matrix is given by,


See the step by step solution

Step by Step Solution

Step 1: Definition

A determinant is a unique number associated with a square matrix.

A determinant is a scalar value that is a function of the entries of a square matrix.

It is the signed factor by which areas are scaled by this matrix. If the sign is negative the matrix reverses orientation.

Step 2: Given

Given determinant,


Step 3: To find determinant

To determine,

detv1v2v3v4=-detv1v2v3v4detv1v2v3v4=-det(A) .detv1v2v3v4=-8

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.